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Finding the Fourth Proportional to 14,521.87, 21,804.68 and 8,288.92

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Solution

The fourth proportional to 14,521.87, 21,804.68 and 8,288.92 is: 12,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,521.87 : 21,804.68 = 8,288.92 : x
  2. Step 2: Convert to fraction form
    14,521.87/21,804.68 = 8,288.92/x
  3. Step 3: Cross multiply
    14,521.87x = 21,804.68 × 8,288.92
  4. Step 4: Simplify right side
    14,521.87x = 180,737,248.15
  5. Step 5: Solve for x
    x = 180,737,248.15/14,521.87
  6. Step 6: Final answer
    x = 12,445.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.